Function and Curl Recovery for the Lowest Order Triangular Edge Element
For the lowest order triangular edge element, function and curl recovery methods are proposed to recover the finite element approximation and its curl onto the space of piecewise continuous functions by least-squares fitting. A superconvergence analysis is carried out on the uniform triangular mesh....
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| Veröffentlicht in: | Journal of scientific computing 2022-12, Vol.93 (3), p.69, Article 69 |
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| container_title | Journal of scientific computing |
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| creator | Wu, Chao Huang, Yunqing Yi, Nianyu Wei, Huayi Yuan, Jinyun |
| description | For the lowest order triangular edge element, function and curl recovery methods are proposed to recover the finite element approximation and its curl onto the space of piecewise continuous functions by least-squares fitting. A superconvergence analysis is carried out on the uniform triangular mesh. Numerical experiments are provided to illustrate the superconvergence of the recovery methods and the performance of the corresponding recovery based a posteriori error estimators in adaptive computation. |
| doi_str_mv | 10.1007/s10915-022-02027-y |
| format | Article |
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| subjects | Algorithms Approximation Computational Mathematics and Numerical Analysis Continuity (mathematics) Finite element analysis Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Recovery Theoretical |
| title | Function and Curl Recovery for the Lowest Order Triangular Edge Element |
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